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Co-dynamics of COVID-19 and TB with COVID-19 vaccination and exogenous reinfection for TB:An optimal control application

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Infectious Disease Modelling 2023年第2期8卷 574-602页

作者： zenebe shiferaw kifle Legesse Lemecha Obsu Department of Mathematics Adama Science and Technology UniversityAdamaEthiopia

COVID-19 and Tuberculosis(TB)are among the major global public health problems and diseases with major socioeconomic *** dynamics of these diseases are spread throughout the world with clinical similarities which makes them difficult to be *** this study,we formulate and analyze a mathematical model containing several epidemiological characteristics of the co-dynamics of COVID-19 and *** conditions are derived for the stability of both COVID-19 and TB sub-models *** certain conditions,the TB sub-model could undergo the phenomenon of backward bifurcation whenever its associated reproduction number is less than *** equilibria of the full TBCOVID-19 model are locally asymptotically stable,but not globally,due to the possible occurrence of backward *** incorporation of exogenous reinfection into our model causes effects by allowing the occurrence of backward bifurcation for the basic reproduction number R_(0)η*).The analytical results show that reducing R_(0)<1 may not be sufficient to eliminate the disease from the *** optimal control strategies were proposed to minimize the disease burden and related *** existence of optimal controls and their characterization are established using Pontryagin's Minimum ***,different numerical simulations of the control induced model are carried out to observe the effects of the control *** reveals the usefulness of the optimization strategies in reducing COVID-19 infection and the co-infection of both diseases in the community.

关键词： COVID-19 Co-infection Exogenous reinfection Basic reproduction number Bifurcation Optimal control

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